Derivada de 6/x
Answer
-6*x^(-2)
Derivative of 6/x
- Rule Used
- Quotient Rule
- Steps
- Identify a quotient in 6/x: use the quotient rule (u/v)' = (u'v − uv')/v². The minus sign belongs to the derivative of the denominator; swapping it is the usual error.
- Differentiate numerator and denominator, then combine.
- Final answer: -
A derivada de 6/x é -6*x^(-2).
Solução passo a passo instantânea para 6/x
Share this result
Derivative of 6/x = -6*x^(-2) Solve step-by-step for free: https://derivativecalculatorai.com/pt/derivative-of-6-minus-over-minus-x
Como encontrar a derivada de 6/x
Para encontrar a derivada de 6/x, usamos regras de diferenciação padrão. Nossa calculadora com IA detalha os passos e explica a lógica.
Praticar Mais Problemas
Derivada de sec(x)
Resolver d/dx sec(x)
Derivada de sin(2x)
Resolver d/dx sin(2x)
Derivada de sin(x)^2
Resolver d/dx sin(x)^2
Derivada de sin(x)
Resolver d/dx sin(x)
Derivada de sinh(x)
Resolver d/dx sinh(x)
Derivada de sqrt(x)
Resolver d/dx sqrt(x)
Derivada de tan(x)^2
Resolver d/dx tan(x)^2
Derivada de tan(x)
Resolver d/dx tan(x)
Derivada de tanh(x)
Resolver d/dx tanh(x)
Derivada de x*cos(x)
Resolver d/dx x*cos(x)
Frequently Asked Questions
What is the derivative of 6/x?▼
The derivative of 6/x is -6*x^(-2).
How do you find the derivative of 6/x?▼
Apply the standard differentiation rules — the key rule used here is the Quotient Rule. The step-by-step result is -6*x^(-2).
Why is the derivative of 6/x equal to -6*x^(-2)?▼
Because differentiation measures how a function changes — applying the rules to 6/x yields -6*x^(-2). See the full step-by-step breakdown above.